M-band nonlinear subband decompositions with perfect reconstruction

被引：48

作者：

Hampson, FJ ^{[1
]}

Pesquet, JC ^{[1
]}

机构：

[1] Univ Paris Sud, CNRS, Signaux & Syst Lab, ESE, F-91192 Gif Sur Yvette, France

来源：

IEEE TRANSACTIONS ON IMAGE PROCESSING | 1998年 / 7卷 / 11期

关键词：

feature sieves; morphological filters; multirate filterbanks; multiresolution analysis; nonlinear filters; perfect reconstruction; subband systems;

D O I：

10.1109/83.725362

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We investigate nonlinear multirate filterbanks with maximal decimation and perfect reconstruction. Definitions of the desired properties of such structures are given for general nonlinear filterbanks. We then consider a triangular representation of linear filterbanks and see that it may be easily extended to the nonlinear case. Furthermore, general nonlinear filterbanks are presented, for which perfect reconstruction is either inherently guaranteed or ensured subject to an easily verified condition. Extensions to bidimensional filters are also discussed and an application for nonlinear multiresolution schemes to feature sieves is shown.

引用

页码：1547 / 1560

页数：14

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